6(2x+3)-3(y-5)=0

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Solution for 6(2x+3)-3(y-5)=0 equation:


Simplifying
6(2x + 3) + -3(y + -5) = 0

Reorder the terms:
6(3 + 2x) + -3(y + -5) = 0
(3 * 6 + 2x * 6) + -3(y + -5) = 0
(18 + 12x) + -3(y + -5) = 0

Reorder the terms:
18 + 12x + -3(-5 + y) = 0
18 + 12x + (-5 * -3 + y * -3) = 0
18 + 12x + (15 + -3y) = 0

Reorder the terms:
18 + 15 + 12x + -3y = 0

Combine like terms: 18 + 15 = 33
33 + 12x + -3y = 0

Solving
33 + 12x + -3y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-33' to each side of the equation.
33 + 12x + -33 + -3y = 0 + -33

Reorder the terms:
33 + -33 + 12x + -3y = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 12x + -3y = 0 + -33
12x + -3y = 0 + -33

Combine like terms: 0 + -33 = -33
12x + -3y = -33

Add '3y' to each side of the equation.
12x + -3y + 3y = -33 + 3y

Combine like terms: -3y + 3y = 0
12x + 0 = -33 + 3y
12x = -33 + 3y

Divide each side by '12'.
x = -2.75 + 0.25y

Simplifying
x = -2.75 + 0.25y

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